define pyk of tactic commutativity as text unicode start of text unicode small t unicode small a unicode small c unicode small t unicode small i unicode small c unicode space unicode small c unicode small o unicode small m unicode small m unicode small u unicode small t unicode small a unicode small t unicode small i unicode small v unicode small i unicode small t unicode small y unicode end of text end unicode text end text end define
define tex of tactic commutativity as text unicode start of text unicode newline unicode capital c unicode small o unicode small m unicode small m unicode small u unicode small t unicode small a unicode small t unicode small i unicode small v unicode small i unicode small t unicode small y unicode underscore unicode one unicode end of text end unicode text end text end define
define statement of tactic commutativity as example theory infer all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar math equal metavar var b end metavar infer metavar var b end metavar math equal metavar var a end metavar end define
define proof of tactic commutativity as lambda var c dot lambda var x dot proof expand quote example theory infer all metavar var a end metavar indeed all metavar var b end metavar indeed metavar var a end metavar math equal metavar var b end metavar infer tactic reflexivity conclude metavar var a end metavar math equal metavar var a end metavar cut example rule lemma modus ponens metavar var a end metavar math equal metavar var b end metavar modus ponens metavar var a end metavar math equal metavar var a end metavar conclude metavar var b end metavar math equal metavar var a end metavar end quote state proof state cache var c end expand end define
The pyk compiler, version 0.grue.20060417+ by Klaus Grue,